numbers
sequencelengths 4
4
| solutions
sequencelengths 1
11
| solvable
bool 1
class | amt
float64 4.36
212
| solved_rate
float64 0.2
1
| mean_time
float64 4.63
41.1
| std_time
float64 1.25
23
|
---|---|---|---|---|---|---|
[
5,
5,
13,
13
] | [
"5×5-13/13"
] | true | 7.22 | 0.854 | 7.42 | 3.23 |
[
5,
6,
6,
6
] | [
"(5-6/6)×6"
] | true | 7.93 | 0.875 | 8.13 | 3.62 |
[
5,
6,
6,
7
] | [
"7+6+6+5",
"(6+5-7)×6",
"6×6-7-5",
"(6+6)×(7-5)"
] | true | 6.71 | 0.978 | 7.16 | 2.42 |
[
5,
6,
6,
8
] | [
"(8-5)×6+6"
] | true | 11.39 | 0.812 | 10.82 | 6.07 |
[
5,
6,
6,
9
] | [
"9×6-6×5"
] | true | 26.19 | 0.595 | 14.88 | 9.1 |
[
5,
6,
6,
10
] | [
"(10-5)×6-6",
"(6+6)×10/5",
"(6-10/5)×6"
] | true | 9.09 | 0.89 | 9.28 | 3.96 |
[
5,
6,
6,
12
] | [
"6×5+6-12",
"12×5-6×6",
"(12-6)×5-6"
] | true | 15.07 | 0.808 | 13.93 | 6.33 |
[
5,
6,
7,
7
] | [
"(5-7/7)×6"
] | true | 6.82 | 0.874 | 6.95 | 2.8 |
[
5,
6,
7,
8
] | [
"(7+5)×(8-6)",
"(7+5-8)×6",
"8×6/(7-5)"
] | true | 7.87 | 0.938 | 8.33 | 3.14 |
[
5,
6,
7,
9
] | [
"(7-5)×9+6"
] | true | 27.1 | 0.6 | 16.58 | 9.35 |
[
5,
6,
7,
12
] | [
"(7+5)×12/6",
"(7-5)×6+12"
] | true | 9.5 | 0.846 | 9.49 | 4.46 |
[
5,
6,
7,
13
] | [
"6×5+7-13",
"(13+7)×6/5",
"7×6-13-5",
"(13-7)×5-6"
] | true | 10.72 | 0.862 | 10.82 | 5.55 |
[
5,
6,
8,
8
] | [
"(6+5-8)×8",
"(5-8/8)×6"
] | true | 7.42 | 0.924 | 7.86 | 3.05 |
[
5,
6,
8,
9
] | [
"(8+5-9)×6",
"(9+6)×8/5"
] | true | 9.73 | 0.899 | 10.01 | 4.44 |
[
5,
6,
8,
10
] | [
"8×6×5/10",
"8×5-10-6",
"(8-5)×10-6"
] | true | 10.52 | 0.871 | 10.63 | 4.62 |
[
5,
6,
8,
12
] | [
"(12+8)×6/5",
"12×6/(8-5)",
"(5-12/6)×8"
] | true | 10.47 | 0.877 | 10.44 | 4.12 |
[
5,
6,
8,
13
] | [
"(13+5)×8/6"
] | true | 70.59 | 0.361 | 23.49 | 12.21 |
[
5,
6,
9,
9
] | [
"(9-6)×5+9",
"(5-9/9)×6"
] | true | 7.01 | 0.908 | 7.33 | 2.8 |
[
5,
6,
9,
10
] | [
"(9+5-10)×6",
"10×9/5+6"
] | true | 8.36 | 0.908 | 8.87 | 3.84 |
[
5,
6,
9,
11
] | [
"(11+9)×6/5",
"(11+5)×9/6"
] | true | 75.91 | 0.334 | 27.08 | 15.22 |
[
5,
6,
9,
12
] | [
"(6+5-9)×12",
"(12-6)×(9-5)"
] | true | 9.98 | 0.873 | 10.09 | 4.43 |
[
5,
6,
9,
13
] | [
"(13-5)×(9-6)"
] | true | 16.49 | 0.69 | 12.61 | 6.14 |
[
5,
6,
10,
10
] | [
"(10+10)×6/5",
"(5-10/10)×6"
] | true | 7.91 | 0.867 | 8.17 | 3.91 |
[
5,
6,
10,
11
] | [
"(10+5-11)×6",
"(11-5)×(10-6)"
] | true | 7.91 | 0.905 | 8.27 | 3.58 |
[
5,
6,
10,
12
] | [
"10×6/5+12",
"(6-12/10)×5"
] | true | 13.42 | 0.758 | 11.43 | 5.76 |
[
5,
6,
10,
13
] | [
"13+10+6-5"
] | true | 8.63 | 0.912 | 9.35 | 4.41 |
[
5,
6,
11,
11
] | [
"(5-11/11)×6"
] | true | 7.19 | 0.871 | 7.44 | 3.33 |
[
5,
6,
11,
12
] | [
"12+11+6-5",
"(11+5-12)×6",
"(11-5)×6-12"
] | true | 5.9 | 0.972 | 6.38 | 2.24 |
[
5,
6,
11,
13
] | [
"(13+11)×(6-5)",
"(13-6)×5-11"
] | true | 7.42 | 0.914 | 7.91 | 3.42 |
[
5,
6,
12,
12
] | [
"(12+12)×(6-5)",
"(5-12/12)×6"
] | true | 5.42 | 0.972 | 5.8 | 1.81 |
[
5,
6,
12,
13
] | [
"(13-6-5)×12",
"13+12+5-6",
"(12+5-13)×6"
] | true | 6.1 | 0.975 | 6.51 | 2.17 |
[
5,
6,
13,
13
] | [
"(5-13/13)×6"
] | true | 6.97 | 0.872 | 7.07 | 2.8 |
[
5,
7,
7,
9
] | [
"(7+5)×(9-7)"
] | true | 13.42 | 0.74 | 11.42 | 5.28 |
[
5,
7,
7,
10
] | [
"(7-5)×7+10"
] | true | 18.06 | 0.678 | 13.76 | 6.9 |
[
5,
7,
7,
11
] | [
"(5-11/7)×7"
] | true | 90.39 | 0.275 | 26.22 | 13.42 |
[
5,
7,
8,
8
] | [
"(7-5)×8+8",
"(8+7)×8/5"
] | true | 9 | 0.826 | 8.73 | 4.81 |
[
5,
7,
8,
9
] | [
"(7+5-9)×8",
"8×5-9-7"
] | true | 9.45 | 0.886 | 9.68 | 4.27 |
[
5,
7,
8,
10
] | [
"(7+5)×(10-8)"
] | true | 15.88 | 0.705 | 12.62 | 6.02 |
[
5,
7,
9,
10
] | [
"(10-7)×5+9"
] | true | 25.19 | 0.615 | 16.65 | 9.31 |
[
5,
7,
9,
11
] | [
"(7+5)×(11-9)"
] | true | 14.62 | 0.706 | 11.21 | 5.92 |
[
5,
7,
9,
12
] | [
"(9+5)×12/7"
] | true | 59.78 | 0.396 | 18.45 | 11.83 |
[
5,
7,
9,
13
] | [
"13+9+7-5",
"(13-7)×(9-5)"
] | true | 9.95 | 0.911 | 10.37 | 4.02 |
[
5,
7,
10,
10
] | [
"10×7/5+10"
] | true | 13.65 | 0.772 | 12.45 | 5.53 |
[
5,
7,
10,
11
] | [
"(10-5)×7-11"
] | true | 64.03 | 0.362 | 25.09 | 14.01 |
[
5,
7,
10,
12
] | [
"(7+5)×(12-10)",
"(7+5-10)×12",
"12+10+7-5"
] | true | 6.76 | 0.968 | 7.25 | 2.52 |
[
5,
7,
10,
13
] | [
"(13-5)×(10-7)"
] | true | 23.22 | 0.616 | 16.85 | 7.67 |
[
5,
7,
11,
11
] | [
"11+11+7-5",
"(11-5)×(11-7)"
] | true | 6.86 | 0.963 | 7.27 | 2.66 |
[
5,
7,
11,
13
] | [
"(7+5)×(13-11)"
] | true | 13.48 | 0.709 | 10.38 | 5.51 |
[
5,
7,
12,
12
] | [
"12×7-12×5"
] | true | 16.1 | 0.66 | 10.65 | 6.25 |
[
5,
7,
13,
13
] | [
"13+13+5-7"
] | true | 7.6 | 0.941 | 8.01 | 3.25 |
[
5,
8,
8,
8
] | [
"8×5-8-8",
"8×8-8×5"
] | true | 11.38 | 0.809 | 10.9 | 5.46 |
[
5,
8,
8,
9
] | [
"9×8/(8-5)",
"(9-5)×8-8"
] | true | 7.87 | 0.872 | 8.18 | 3.96 |
[
5,
8,
8,
10
] | [
"(8+5-10)×8",
"10×8/5+8"
] | true | 7.51 | 0.916 | 7.97 | 3.42 |
[
5,
8,
8,
13
] | [
"13+8+8-5"
] | true | 8.14 | 0.925 | 8.5 | 3.7 |
[
5,
8,
9,
11
] | [
"(8-5)×11-9",
"(9+5-11)×8",
"(11-8)×5+9"
] | true | 8.44 | 0.897 | 8.73 | 3.84 |
[
5,
8,
9,
12
] | [
"12+9+8-5",
"12×8/(9-5)"
] | true | 9.59 | 0.922 | 10.02 | 4.04 |
[
5,
8,
9,
13
] | [
"9×5-13-8"
] | true | 65.12 | 0.363 | 34.82 | 16.79 |
[
5,
8,
10,
11
] | [
"11+10+8-5"
] | true | 11.44 | 0.876 | 11.19 | 4.87 |
[
5,
8,
10,
12
] | [
"(10+5-12)×8"
] | true | 12.3 | 0.842 | 11.57 | 5.31 |
[
5,
8,
11,
12
] | [
"(8+5-11)×12",
"(11+5)×12/8",
"(11-5)×(12-8)"
] | true | 10.6 | 0.871 | 10.85 | 4.37 |
[
5,
8,
11,
13
] | [
"(11+5-13)×8",
"(13-5)×(11-8)"
] | true | 8.45 | 0.886 | 8.57 | 3.52 |
[
5,
8,
12,
12
] | [
"(8-5)×12-12"
] | true | 7.86 | 0.753 | 7.04 | 3.77 |
[
5,
9,
9,
11
] | [
"11+9+9-5"
] | true | 9.55 | 0.895 | 9.81 | 3.88 |
[
5,
9,
9,
12
] | [
"9×5-12-9",
"(9-5)×9-12",
"(12-9)×5+9"
] | true | 15.14 | 0.76 | 13.47 | 6.87 |
[
5,
9,
10,
10
] | [
"10+10+9-5"
] | true | 7.32 | 0.929 | 7.75 | 3.15 |
[
5,
9,
10,
11
] | [
"9×5-11-10"
] | true | 49.16 | 0.426 | 29.23 | 14.1 |
[
5,
9,
10,
13
] | [
"10/5+13+9",
"(13-10)×5+9"
] | true | 13.76 | 0.781 | 12.06 | 6.09 |
[
5,
9,
11,
13
] | [
"(11-5)×(13-9)"
] | true | 23.56 | 0.613 | 16.85 | 7.77 |
[
5,
9,
12,
12
] | [
"(9+5-12)×12",
"(12×9+12)/5"
] | true | 11.15 | 0.832 | 10.93 | 4.85 |
[
5,
9,
12,
13
] | [
"(13+5)×12/9",
"(13-5)×(12-9)"
] | true | 21.09 | 0.646 | 16.08 | 7.34 |
[
5,
10,
10,
11
] | [
"(11×10+10)/5"
] | true | 44.17 | 0.416 | 15.46 | 7.54 |
[
5,
10,
10,
12
] | [
"12×10/(10-5)",
"10/5+12+10"
] | true | 9.25 | 0.87 | 9.19 | 3.62 |
[
5,
10,
10,
13
] | [
"(13×10-10)/5"
] | true | 49.77 | 0.39 | 17.43 | 8.13 |
[
5,
10,
11,
11
] | [
"10/5+11+11"
] | true | 7.37 | 0.904 | 7.66 | 2.88 |
[
5,
10,
12,
13
] | [
"(10+5-13)×12"
] | true | 10.91 | 0.834 | 10.46 | 4.53 |
[
5,
10,
13,
13
] | [
"10×5-13-13",
"13+13-10/5",
"(13-5)×(13-10)"
] | true | 7.58 | 0.927 | 8.01 | 2.78 |
[
5,
11,
12,
12
] | [
"12×12/(11-5)",
"(12×11-12)/5"
] | true | 9.69 | 0.827 | 9.23 | 4.34 |
[
6,
6,
6,
6
] | [
"6+6+6+6",
"6×6-6-6"
] | true | 4.57 | 0.995 | 4.81 | 1.47 |
[
6,
6,
6,
8
] | [
"(6+6)×(8-6)",
"(6+6-8)×6"
] | true | 9.58 | 0.914 | 9.91 | 4.25 |
[
6,
6,
6,
9
] | [
"6×6×6/9",
"(9-6)×6+6"
] | true | 7.64 | 0.899 | 8.15 | 3.98 |
[
6,
6,
6,
10
] | [
"10×6-6×6"
] | true | 17.77 | 0.657 | 11.82 | 6.68 |
[
6,
6,
6,
11
] | [
"(11-6)×6-6"
] | true | 7.35 | 0.888 | 7.65 | 3.55 |
[
6,
6,
6,
12
] | [
"(6+6)×12/6",
"(6-12/6)×6"
] | true | 9.32 | 0.892 | 9.49 | 4.57 |
[
6,
6,
7,
9
] | [
"(6+6)×(9-7)",
"(7+6-9)×6"
] | true | 8.38 | 0.908 | 8.79 | 3.76 |
[
6,
6,
7,
10
] | [
"(10-7)×6+6"
] | true | 8.05 | 0.841 | 8.08 | 4.22 |
[
6,
6,
7,
11
] | [
"11×6-7×6"
] | true | 25.91 | 0.581 | 13.95 | 8.68 |
[
6,
6,
7,
12
] | [
"7×6-12-6",
"(12-7)×6-6"
] | true | 10.54 | 0.841 | 10.26 | 4.81 |
[
6,
6,
8,
8
] | [
"8×6/(8-6)"
] | true | 10.07 | 0.861 | 9.87 | 4.49 |
[
6,
6,
8,
9
] | [
"(6+6-9)×8",
"(8-6)×9+6"
] | true | 8.59 | 0.903 | 8.93 | 3.61 |
[
6,
6,
8,
10
] | [
"(6+6)×(10-8)",
"(8+6-10)×6"
] | true | 9.1 | 0.905 | 9.37 | 4.22 |
[
6,
6,
8,
11
] | [
"(11-8)×6+6"
] | true | 8.98 | 0.829 | 8.69 | 4.54 |
[
6,
6,
8,
12
] | [
"8×6×6/12",
"12×6-8×6",
"(8-6)×6+12",
"(12+6)×8/6"
] | true | 9.86 | 0.907 | 10.17 | 4.36 |
[
6,
6,
8,
13
] | [
"(13-8)×6-6"
] | true | 9.29 | 0.833 | 9.01 | 4.48 |
[
6,
6,
9,
10
] | [
"(9-6)×10-6",
"(10+6)×9/6"
] | true | 17.62 | 0.702 | 13.9 | 7.22 |
[
6,
6,
9,
11
] | [
"(6+6)×(11-9)",
"(9+6-11)×6"
] | true | 8.79 | 0.886 | 9.14 | 4.16 |
[
6,
6,
9,
12
] | [
"12×6/(9-6)",
"12×9/6+6",
"(12-9)×6+6"
] | true | 7.98 | 0.918 | 8.26 | 3.39 |
[
6,
6,
9,
13
] | [
"13×6-9×6"
] | true | 31.03 | 0.538 | 14.15 | 9.07 |
[
6,
6,
10,
12
] | [
"(6+6)×(12-10)",
"(6+6-10)×12",
"(10+6-12)×6",
"(12-6)×(10-6)"
] | true | 7.95 | 0.939 | 8.36 | 3.19 |
[
6,
6,
10,
13
] | [
"6/6+13+10",
"(13-10)×6+6"
] | true | 5.97 | 0.938 | 6.5 | 2.71 |
[
6,
6,
11,
12
] | [
"6/6+12+11"
] | true | 6.39 | 0.893 | 6.74 | 2.97 |